Question

The Coordinates at the point which divides a line joining P(3, 5), Q(-7,-8) externally in the ratio 8:5 is​

Answer 1

Step-by-step explanation:

The coordinates of point when (x

1

,y

1

) and (x

2

,y

2

) are divided in m:n

(i) internally is ( m+nmx 2 +nx 1

m+n

my

2

+ny 1 )

(ii) externally (

m−n

mx

2 −nx 1

m−n

my

2

−ny

1 )

Let the point be P(h,k)

(1) For internal division

h=

2+3

2(4)+3(−1)

=

5

5

=1

k=

2+3

2(−5)+3(2)

=

5

−4

⇒P(1,

5

−4

)

(2) For external division

h=

2−3

2(4)−3(−1)

=

−1

8+3

=−11

k=

2−3

2(−5)−3(2)

=

−1

−10−6

=16

⇒P(−11,16)